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Finding the Third Proportional to 12,004.50 and 22,362

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Solution

The third proportional to 12,004.50 and 22,362 is: 41,655.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,004.50 : 22,362 = 22,362 : x
  2. Step 2: Convert to fraction form
    12,004.50/22,362 = 22,362/x
  3. Step 3: Cross multiply
    12,004.50x = 22,362 × 22,362
  4. Step 4: Simplify right side
    12,004.50x = 500,059,044
  5. Step 5: Solve for x
    x = 500,059,044/12,004.50
  6. Step 6: Final answer
    x = 41,655.97

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These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.